Consider the following process to manufacture bunk beds. Assume that the beds are made in batches of 4, and that there are 40 hours available per week for production. Each bed goes through the following nine steps. Step 1. Cut 2. Plane 3. Router 4. Drill 5. Sand 6. Stain 7. Polyurethane 8. Kit assembly 9. Cleating Setup Time Minutes per Setup 15 10 10 10 25 15 45 0 Run Time Minutes per Bunk Bed 37.5 38.4 48 28 24 12 90 40 15 0 1. Assume that there is only one worker in total for building bunk beds (i.e., one worker performs each step). What is the capacity in beds per week for the process? For questions 2 through 7, assume that there is 1 worker at each step in the process and that, on average, there is 1 batch of inventory before each step and 1 batch in process at each step. 2. What is the capacity in beds per week for each step in the process? Which step is the bottleneck? What is the overall capacity of the process? 3. If the demand is 20 bunk beds per week, what is the capacity utilization for each step in the process? 4. How would capacity change if we increased the batch size to 8 bunk beds? 5. List three recommendations for increasing the capacity of the process. What are the potential costs / difficulties of each recommendation? 6. If the demand is 20 bunk beds per week, how long does it take for 1 bunk bed to complete the entire process, from start to finish? 7. List three recommendations for decreasing the throughput time of the process. What are the potential costs/difficulties of each recommendation